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What is the Square Root of 5367?

The square root of 5367 is 73.2598116296. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5367 = 73.2598116296
CalculatedNon-perfect squareIrrational
Exact form√5367
Perfect squareNo
Number typeIrrational
Verification73.25981162962 ≈ 5367

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How the answer is calculated

We solve x2 = 5367. The resulting value is x = 73.2598116296.

Verification: 73.25981162962 ≈ 5367.

Simplified radical form

The square root of 5367 in simplified radical form is √5367.

There are no square factors that can be taken outside the radical, so √5367 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal735329
Upper or equal745476

Nearby square roots

NumberSquare root
√536473.2393336944
√536573.2461603089
√536673.2529862872
√536773.2598116296
√536873.2666363361
√536973.2734604069
√537073.2802838422

Number properties

Is 5367 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5367 is irrational because 5367 is not a perfect square.

Visual guide

Square Root function graph

See how the result changes as the input moves across positive and negative values. Square roots are shown for non-negative inputs; cube roots continue through negative inputs.

Common questions

Frequently asked questions

It asks for the number that, when raised to the power of 2, equals 5367.